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Some Basic Algebraic Functions: Absolute value

Definition

Taking the absolute value of a negative number makes it positive. For this reason, graphs of absolute value functions tend not to look quite like the graphs of linear functions that you've already studied.

Task:

Use the sidebars in the graph below to change the value of the "a" coefficient of the absolute value  and  'b" for  y=a|x|+bNote that "a" is not inside the absolute value sign! 

  • Explore how the graph behaves for positive "a".
  • Explore how the graph behaves for negative "a".
  • Explore how the graph behaves when "a=0".
  • Explore how the graph behaves for positive "b".
  • Explore how the graph behaves for negative "b".
  • Explore how the graph behaves when "b=0".

 

 

Credits

Created by peer tutors under the direction of Learning Centre faculty at Douglas College, British Columbia.

 

Project Coordinator and LibGuide developer

 Mina Sedaghatjou

 

 

 

 

 

 

 

 

 

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